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tino4ka555 [31]
2 years ago
5

Hi May I know how to solve this with step by step explanation please

Mathematics
2 answers:
trapecia [35]2 years ago
6 0

Answer:

13.33 cm

Step-by-step explanation:

Given, ratio of volumes v ÷ V = 8 ÷ 27

This ratio is applicable to heights of same containers, as the volume is directly proportional with height (V=Ah, A- base, h- height)

So we have:

  • h ÷ H = 8 ÷ 27

and

  • H=45 cm

Then,

  • h ÷ 45 = 8 ÷ 27
  • h = 45 × 8/27
  • h = 40/3 = 13.33 cm
KIM [24]2 years ago
5 0

Answer:

13.33 cm

Step-by-step explanation:

Down here.

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True [87]

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

\angle ONP\cong \angle MNL       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

\angle NOP\cong \angle NML

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

\Delta ONP\sim \Delta MNL        (AA postulate)

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